Socolar-Taylor Aperiodic Tile

by Gelada, published

Socolar-Taylor Aperiodic Tile by Gelada Apr 1, 2010

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A single tile that can fill three dimensional space but never gives a periodic tiling. For more details see:



A blender file with the python code constructing the model is here:


Use the model in a 3d printer.

Two models are provided. Copies of the actual tile cannot be fitted together without access to a 4th dimension. A simpler tile that does not have all the markings should fit together, but can also give periodic tilings.

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Nicely done! I was wondering how long it would take for someone to upload this aperiodic tile.